The coefficients of linear dependence of the effective thermal conductivity of TPMS frames on the relative thickness \( \frac{\delta }{a}\) (where \(\delta\) is the thickness of the cell wall; \(a\) - characteristic size equal to the length of the cube edge for cells with cubic symmetry and equal to the length of the parallelepiped edge for cells with orthotropic symmetry).
In this study, photopolymer resin and SBS plastic were selected as the materials from which the TPMS frame is made. For some topologies that have orthotropic symmetry, the effective thermal conductivity was determined in the direction of the two axes of symmetry.
Porous material | Dependence of the effective thermal conductivity $$k_{eff} = C_{1}\frac{\delta }{a} + C_{2}, W/(m\cdot K)$$ | |||
Photopolymer resin | SBS Plastic | |||
$$C_1$$ | $$C_2$$ | $$C_1$$ | $$C_2$$ | |
MER_X | 1,2251 | -0,0012 | 0,366796407 | -0,000359281 |
MER_Z | 1,8105 | -0,0012 | 0,542065868 | -0,000359281 |
ATN_X | 0,5246 | -0,0007 | 0,157065868 | -0,000209581 |
ATN_Z | 1,1552 | -0,0004 | 0,345868263 | -0,00011976 |
BCT_X | 0,5883 | -0,0001 | 0,176137725 | -0,0000299401 |
BCT_Z | 1,3055 | 0,00007 | 0,390868263 | 0,0000209581 |
SAS_X | 0,9256 | -0,002 | 0,277125749 | -0,000598802 |
SAS_Z | 1,9036 | 0,0034 | 0,56994012 | 0,001017964 |
RHO | 1,6818 | -0,004 | 0,503532934 | -0,001197605 |
LTA | 0,8185 | -0,0016 | 0,24505988 | -0,000479042 |
JSW_X | 0,958 | 0,0012 | 0,286826347 | 0,000359281 |
JSW_Z | 1,5392 | -0,0009 | 0,460838323 | -0,000269461 |
TSC_1 | 1,9342 | -0,0017 | 0,564231135 | -0,000523612 |
NPT_1 | 1,6179 | -0,0056 | 1,036536121 | -0,006623126 |